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Finding the Third Proportional to 110,460 and 238,563

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Solution

The third proportional to 110,460 and 238,563 is: 515,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,460 : 238,563 = 238,563 : x
  2. Step 2: Convert to fraction form
    110,460/238,563 = 238,563/x
  3. Step 3: Cross multiply
    110,460x = 238,563 × 238,563
  4. Step 4: Simplify right side
    110,460x = 56,912,304,969
  5. Step 5: Solve for x
    x = 56,912,304,969/110,460
  6. Step 6: Final answer
    x = 515,229.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.